Critical phenomena in globally coupled excitable elements

Abstract

Critical phenomena in globally coupled excitable elements are studied by focusing on a saddle-node bifurcation at the collective level. Critical exponents that characterize divergent fluctuations of interspike intervals near the bifurcation are calculated theoretically. The calculated values appear to be in good agreement with those determined by numerical experiments. The relevance of our results to jamming transitions is also mentioned.

4 pages, 3 figures

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• Collective oscillations of excitable elements: order parameters, bistability and the role of stochasticity
• Theoretical analysis for critical fluctuations of relaxation trajectory near a saddle-node bifurcation
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